Volumetric shares of petroleum fluids phases $\begin{array}{l}V_\alpha\end{array}$ saturating effective pore volume $\begin{array}{l}V_\phi\end{array}$ :

(1)	$\begin{array}{l}\displaystyle s_\alpha = \frac{V_\alpha}{V_\phi}\end{array}$

(2)	$\begin{array}{l}\displaystyle \sum_\alpha V_\alpha = V_\phi\end{array}$

(3)	$\begin{array}{l}\displaystyle \sum_\alpha s_\alpha = 1\end{array}$

(4)	$\begin{array}{l}\displaystyle s_w + s_o + s_g = 1\end{array}$

where

$\begin{array}{l}s_w = s_w({\bf r})\end{array}$	water phase saturation at reservoir location $\begin{array}{l}\bf r\end{array}$
$\begin{array}{l}s_o= s_o({\bf r})\end{array}$	oil phase saturation at reservoir location $\begin{array}{l}\bf r\end{array}$
$\begin{array}{l}s_g= s_g({\bf r})\end{array}$	gas phase saturation at reservoir location $\begin{array}{l}\bf r\end{array}$

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